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Finding the Fourth Proportional to 176,149,728,005.67, 264,224,592,008.51 and 176,149,728,005.67

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Solution

The fourth proportional to 176,149,728,005.67, 264,224,592,008.51 and 176,149,728,005.67 is: 264,224,592,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,005.67 : 264,224,592,008.51 = 176,149,728,005.67 : x
  2. Step 2: Convert to fraction form
    176,149,728,005.67/264,224,592,008.51 = 176,149,728,005.67/x
  3. Step 3: Cross multiply
    176,149,728,005.67x = 264,224,592,008.51 × 176,149,728,005.67
  4. Step 4: Simplify right side
    176,149,728,005.67x = 46,543,090,014,708,171,800,576
  5. Step 5: Solve for x
    x = 46,543,090,014,708,171,800,576/176,149,728,005.67
  6. Step 6: Final answer
    x = 264,224,592,008.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.